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Embedding lattices of fuzzy subalgebras into lattices of crisp subalgebras
Information Sciences, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Subalgebras of the Split Octonions
Advances in Applied Clifford Algebras, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bentz, Lida, Dray, Tevian
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Algebras and Representation Theory, 2005
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ON SUBSPECTRA GENERATED IN SUBALGEBRAS
Bulletin of the London Mathematical Society, 2003The present paper deals with some properties of ideals in commutative Banach algebras. It is a continuation of the author's earlier investigations published in [Stud. Math. 142, 245--251 (2000; Zbl 1002.46031) and Bol. Soc. Mat. Mex. (3) 7, 117--121 (2001; Zbl 1041.46035)].
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Semilattices of Definable Subalgebras
Algebra and Logic, 2005Summary: In issues bearing on the structure of universal algebras \(\mathcal A\), derived structures, such as automorphism groups \(\text{Aut}\,\mathcal A\), subalgebra lattices \(\text{Sub}\, \mathcal A\), congruence lattices \(\text{Con}\, \mathcal A\), etc., play an important part.
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Journal of Lie Theory, 2015
A pair of Lie algebras \((L,L_0)\) is called transitive if \(L_0\) does not contain any non-trivial ideal of \(L\). Let \(L_1=\{x\in L_0\mid [x,L]\subset L_0\}\). Then \(L_0\) is called an ample nonlinear subalgebra of \(L\) if \(L_1\neq\{0\}\) and \(L_0=N_L(L_1)\) (normalizer), and \(L_1\) is called the kernel of \(L_0\).
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A pair of Lie algebras \((L,L_0)\) is called transitive if \(L_0\) does not contain any non-trivial ideal of \(L\). Let \(L_1=\{x\in L_0\mid [x,L]\subset L_0\}\). Then \(L_0\) is called an ample nonlinear subalgebra of \(L\) if \(L_1\neq\{0\}\) and \(L_0=N_L(L_1)\) (normalizer), and \(L_1\) is called the kernel of \(L_0\).
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Minimal hermitian compact operators related to a C*-subalgebra of K(H)
Journal of Mathematical Analysis and Applications, 2022Jiang Lining
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Hopf algebroids with balancing subalgebra
Journal of Algebra, 2022Zoran Skoda, Martina Stojić
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Nilpotent Lie algebras of class 4 with the derived subalgebra of dimension 3
Communications in Algebra, 2021Peyman Niroomand +2 more
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